Geometry

Question Analysis
This question involves identifying non-mutually exclusive events using number multiples.
The main focus is calculating the union probability by finding common multiples (LCM of 4 and 6) as the intersection.

Key Concept Explanation
For events A (multiples of 4) and B (multiples of 6), the intersection is multiples of the least common multiple (LCM) of 4 and 6, which is 12.
Use .

Step-by-Step Solution
Multiples of 4: 4, 8, 12, ..., 48 → 12 numbers →
Multiples of 6: 6, 12, 18, ..., 48 → 8 numbers →
Multiples of 12 (LCM of 4 and 6): 12, 24, 36, 48 → 4 numbers →